The figure shows a cylinder on an incline plane of negligible friction. The cylinder is released from rest. Which of the following correctly describes the change in the motion of the cylinder if the incline is a rough surface?

A. The cylinder rolls down both inclines, with the cylinder taking more time to reach the bottom on the rough surface.
B. The cylinder rolls down both inclines, with the cylinder taking more time to reach the bottom on the surface of negligible friction.
C. The cylinder slides down the incline of negligible friction and rolls down the incline with a rough surface.
D. The cylinder rolls down the incline of negligible friction and slides down the incline with a rough surface.
E. The cylinder rolls down both inclines in the same amount of time.


Answer :

The cylinder glides down the slope with a hard surface as it slides around the gradient with zero friction.

We know that;

Equation of rough surface = a = mgsinθ / [m + i/r²]

We know that; i = 0

Equation of rough surface = a = gsinθ

So, Option "C" is the correct answer to the following question.

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